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The strongly coupled phase of Yang-Mills plasma with gauge group SU(3) is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body…

High Energy Physics - Phenomenology · Physics 2012-07-27 D. Cabrera , G. Lacroix , C. Semay , F. Buisseret

We formulate a Yang-Mills action principle for noncommutative connections on an endomorphism algebra of a vector bundle. It is shown that there is an influence of the topology of the vector bundle onto the structure of the vacuums of the…

Mathematical Physics · Physics 2016-08-16 Emmanuel Sérié

Generalized Yang-Mills theories are constructed, that can use fields other than vector as gauge fields. Their geometric interpretation is studied. An application to the Glashow-Weinberg-Salam model is briefly review, and some related…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

By studying multidimensional Kaluza-Klein theories, or gravity plus U(1) or SU(2) gauge fields it is shown that these theories possess similar flux tube solutions. The gauge field which fills the tube geometry of these solutions leads to a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev , U. Kasper , D. Singleton

We present a numerical method to compute path integrals in effective SU(2) Yang-Mills theories. The basic idea is to approximate the Yang-Mills path integral by summing over all gauge field configurations, which can be represented as a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marc Wagner

The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff…

High Energy Physics - Theory · Physics 2015-06-26 I. Bengtsson , J. Hallin

We consider a variational approach to the finite temperature Yang-Mills theory in the Coulomb gauge. The partition function is computed in the ensemble of glueballs and quasi-gluons which emerge as eigenstates of the Coulomb gauge…

High Energy Physics - Theory · Physics 2013-05-30 Tochtli Yepez Martinez , Adam P. Szczepaniak , Hugo Reinhardt

We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically…

High Energy Physics - Theory · Physics 2009-11-10 David Tong

We make a short review of the formalism that describes Higgs and Yang Mills fields as two particular cases of an appropriate generalization of the notion of connection. We also comment about the several variants of this formalism, their…

High Energy Physics - Theory · Physics 2015-06-26 G. Cammarata , R. Coquereaux

We consider the Hamiltonian formulation of Yang-Mills theory in the Coulomb gauge and apply the recently developed technique of Hamiltonian flows. We formulate a flow equation for the color Coulomb potential which allows for a scaling…

High Energy Physics - Theory · Physics 2013-05-30 Markus Leder , Hugo Reinhardt , Axel Weber , Jan M. Pawlowski

We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields. These new fields interact with the…

High Energy Physics - Theory · Physics 2014-11-18 V Aldaya , M Calixto , F F Lopez-Ruiz , E Sanchez-Sastre

It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice…

High Energy Physics - Lattice · Physics 2015-12-03 Alessandro Amato , Gunnar Bali , Biagio Lucini

The gradient flow of the Yang-Mills action acts pointwise on closed loops of gauge fields. We construct a topologically nontrivial loop of SU(2) gauge fields on S4 that is locally stable under the flow. The stable loop is written explicitly…

High Energy Physics - Theory · Physics 2010-08-24 Daniel Friedan

An ansatz is presented for a possible non-associative deformation of the standard Yang-Mills type gauge theories. An explicit algebraic structure for the deformed gauge symmetry is put forward and the resulting gauge theory developed. The…

High Energy Physics - Theory · Physics 2011-08-17 A. Ritz , G. C. Joshi

Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorphic to those on the dual modules associated with the dual…

High Energy Physics - Theory · Physics 2007-05-23 Hiroshi Takai

The 3+1 dimensional Yang-Mills theory with the Pontryagin term included is studied on manifolds with a boundary. Based on the geometry of the universal bundle for Yang-Mills theory, the symplectic structure of this model is exhibited. The…

High Energy Physics - Theory · Physics 2016-09-06 Gerald KELNHOFER

We consider the Yang-Mills flow on hyperbolic 3-space. The gauge connection is constructed from the frame-field and (not necessarily compatible) spin connection components. The fixed points of this flow include zero Yang-Mills curvature…

High Energy Physics - Theory · Physics 2012-10-03 Jack Gegenberg , Andrew C. Day , Haitao Liu , Sanjeev S. Seahra

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Hans Christian Öttinger

The relativistic flux tube model is an effective description of confined quarks and gluons in which the confining interaction is carried by the flux tube, a Nambu-Goto string. We first show that the relativistic flux tube model can be…

High Energy Physics - Phenomenology · Physics 2009-11-05 Fabien Buisseret , Vincent Mathieu , Claude Semay

We consider a parabolic-like systems of differential equations involving geometrical quantities to examine uniformization theorems for two- and three-dimensional closed orientable manifolds. We find that in the two-dimensional case there is…

High Energy Physics - Theory · Physics 2009-10-30 S. P. Braham , J. Gegenberg